Triple
T22328543
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fubini–Study form |
E551964
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Kähler form |
C27995
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: Kähler form Context triple: [Fubini–Study form, instanceOf, Kähler form]
-
A.
Kähler metric
A Kähler metric is a Riemannian metric on a complex manifold that is compatible with both the complex structure and a symplectic form, such that the associated Kähler form is closed.
-
B.
Hermitian metric
A Hermitian metric is a smoothly varying, positive-definite Hermitian inner product on the tangent spaces of a complex manifold, compatible with its complex structure.
-
C.
quadratic form
A quadratic form is a homogeneous polynomial of degree two in several variables, typically expressed as xᵀAx for a symmetric matrix A, that defines a scalar-valued function capturing curvature and geometric properties such as lengths, angles, and conic sections.
-
D.
alternating form
chosen
An alternating form is a multilinear map on a vector space that changes sign whenever two of its arguments are swapped, and hence vanishes whenever any two arguments are equal.
-
E.
curvature tensor
A curvature tensor is a multilinear mathematical object in differential geometry that measures how much a space (or manifold) deviates from being flat by quantifying the failure of vectors to return to their original direction after parallel transport around infinitesimal loops.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
Created at: April 16, 2026, 8:43 p.m.